GUPBs exist for any number of parties N≥3; they are built from MDS codes and give a family of genuinely multipartite bound entangled states with PPT across every bipartition.
De Rinaldis, Physical Review A70, 022309 (2004)
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Genuinely Unextendible Product Bases from Maximum Distance Separable Codes
GUPBs exist for any number of parties N≥3; they are built from MDS codes and give a family of genuinely multipartite bound entangled states with PPT across every bipartition.